1.2 Scoring System, Penalty Mathematics & Strategic Answering

1.2 Scoring System, Penalty Mathematics & Strategic Answering

Key Exam Fact: Bocconi applies negative marking: +1.00 point for a correct answer, 0.00 for an omitted answer, and −0.20 for a wrong answer — or −0.33 on critical-thinking items that offer only three options. Applicants whose total score, penalties included, is lower than 17 are not considered in the selection process. Applicants who list the Bachelor in Mathematical and Computing Sciences for Artificial Intelligence must additionally obtain at least 11 points out of 24 in the Mathematics area.

Negative marking changes the payoffs, but does not by itself make every guess irrational. The relevant calculation depends on the probability of answering correctly, the wrong-answer penalty and the time needed. Expected points and the chance of clearing a score threshold are different objectives. The forward-only interface means that a decision cannot be revisited after leaving its screen; it does not provide a live marked score or identify which earlier answers were correct.

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The Official Scoring Formula

Your final score out of 50 is:

$$\text{Score} = (1.00 \times C) - (0.20 \times W_{5}) - (0.33 \times W_{3}) + (0.00 \times B)$$

Where:

• $C$ is the number of correct answers, each worth $+1.00$.
• $W_{5}$ counts wrong answers charged the ordinary −0.20 penalty. The five-option examples below use that penalty; identify the actual displayed item type before applying a guessing model.
• $W_{3}$ is the number of wrong answers on the three-option critical-thinking items, which carry a $-0.33$ penalty.
• $B$ is the number of omitted questions, each worth exactly $0.00$.

Realised Response Patterns, Not a Guessing Guarantee

In this table, all wrong answers are assumed to attract the ordinary 0.20-point penalty. Correct and blank answers can include any subject; every row contains 50 responses. These are separate realised outcomes, not proof that one candidate knew exactly the same answers as another.

B exceeds A by 2.60 points. That does not establish that omitting 13 unknown items improves a future outcome: some of those 13 answers might have been correct. Likewise, D exceeds C by 2.80 points only for the particular counts shown. A candidate cannot know in advance that a group of guesses will all be wrong. Meeting 17 is a score condition for consideration, not admission or proof that the application and attempt are otherwise valid.

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Expected Value: When Is a Guess Worth Making?

Expected value is the average points a decision returns if you made it many times:

$$\mathbb{E}[X] = \sum_{i=1}^{n} P(x_i) \cdot x_i$$

Here the payoffs are $+1.00$ for a correct answer and $-0.20$ (or $-0.33$) for a wrong one.

A Conditional Expected-Points Model

Let $p$ be the actual probability of a correct answer and let $L$ be the positive magnitude of the wrong-answer penalty. Relative to a blank worth zero:

$$E=p-L(1-p).$$

Answering has positive expected points when $p>L/(1+L)$. The threshold is $1/6$, about 16.67%, for $L=0.20$; it is $33/133$, about 24.81%, for $L=0.33$. These are mathematical comparisons, not probabilities supplied by the platform. Confidence can be miscalibrated, and an eliminated choice might actually be correct.

For a uniform random choice among equally likely remaining options, assuming the correct answer has not been eliminated, $p=1/n$. Using exact fractions before rounding:

For example, $(1/3)(1)-(2/3)(0.33)=0.113333\ldots$. The ordinary five-way value is $(1/5)(1)-(4/5)(0.20)=0.04$. Both are positive under this model, despite negative marking. If choosing costs negligible time and the goal is to maximise expected points, a positive-value answer is favoured over a blank. It remains possible to lose points on the actual item.

Time, Variability and the Score Floor

Ten independent uniform five-way guesses have an expected score of $10(0.04)=0.40$, but one possible realised outcome is ten wrong answers and $-2.00$. Another is a mixture of right and wrong answers. This variability does not reverse the positive expectation; it means that an average is not a promised return. A strategy designed to maximise the probability of passing a threshold also depends on the distribution of the rest of the score. Being “near the floor” alone does not establish a universal guessing or omission rule.

Spending a minute on a weak item may prevent you from solving a stronger one, so the expected-value table is not a rule to spend unlimited time guessing. Assess the current evidence and the total remaining time. A brief low-cost selection and a lengthy attempt to justify an unsupported choice have different opportunity costs. A correctly solved ordinary item is worth 1 point; a guess can be right or wrong, and a deliberate omission is worth 0.

Keep the Penalty Types Separate

If ten ordinary-penalty items each have two equally likely surviving choices and the correct choice remains, their combined expected return is $10(0.40)=4.00$ points. That is 8% of the 50-point maximum. If the group instead contains five ordinary items and five three-option Critical Thinking items, each reduced to two equally likely choices, the expected return is $5(0.40)+5(0.335)=3.675$ points. Neither calculation guarantees that score, and the latter cannot be rounded into the former by ignoring the higher penalty.

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The 17-Point Exclusion Floor

The official rule: applicants who receive a total score, penalties included, lower than 17 will not be considered in the selection process. Bocconi repeats the threshold in its results guidance: a score of 17 or higher is the minimum required to apply.

What the Floor Does and Does Not Tell You

1. Apply it to the final net score. For 20 correct answers and 16 ordinary-penalty wrong answers, $20-16(0.20)=16.80$; the other 14 items may be blank. This 50-item response pattern is below 17 despite 20 correct answers.
2. Other marks do not offset this test-score condition. A high GPA does not turn 16.80 into a qualifying Bocconi test result. A qualifying result must still be selected in a complete, timely application and remain valid under the conduct rules.
3. It is not a live-score tool. Earlier answers have not been marked for the candidate while the test is in progress. Do not assume that feeling confident about 20 answers establishes a current score, or that the floor dictates a blanket “guess only with two options” rule. Rehearse your decision process in scored practice instead.

The Mathematics Sub-Score Requirement

The current standard-test page publishes this programme-specific sub-score rule: applicants who have the Bachelor in Mathematical and Computing Sciences for Artificial Intelligence among their choices must obtain at least 11 points out of 24 in the Mathematics area to be considered for that programme. This is a second, independent hurdle — clearing 17 overall does not clear it. The Test Score Report, available in your platform area within 48 hours of the test, reports the score achieved in each subject area, so you can check your Mathematics result afterward rather than inferring it during the test. The report does not itself certify that the monitored attempt has passed the later validity review.

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How the Test Score Is Actually Used

For the ordinary Undergraduate School and Law School selection described on the current admissions page, the evaluation uses two stated elements:

1. Selection test score — 55%. This may be the Online Bocconi Test, or the SAT or ACT. (The Online Bocconi Test – Law and the LSAT are accepted only for Law School programmes.)
2. Third-last and second-last secondary-school year GPA — 45%.

Two details matter for planning:

• Bocconi states that no other document is considered — recommendation letters, motivational letters, CVs and résumés play no part in the assessment.
• The GPA years are the third-last and second-last years, counted backwards from the year of the diploma. Bocconi states explicitly that mid-year grades, grades from the final year of secondary school and predicted grades are NOT considered. Only the final grades of those two earlier years count.

A Bocconi test result is not automatically submitted from the webtesting platform. Follow Apply2B to select the valid Bocconi attempt you intend to use; the University says a certificate upload is not needed for that selected attempt. If you submit more than one accepted test type, such as SAT and Bocconi, the admissions page says the portal selects the highest result for ranking. This does not mean comparing unlike raw point scales yourself, nor does it replace selecting a valid attempt and completing the application. Earlier academic-year attempts and simulation results cannot be used for 2027–28 selection.

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What Bocconi Publishes About "A Good Score" — and What It Does Not

Be careful here, because this is where most third-party guidance invents numbers.

Published by Bocconi:

• A score below 17 excludes the applicant.
• A score of 17 or higher makes the result usable in an application.
• The AI bachelor additionally requires 11/24 in Mathematics.
• The test counts for 55% of the evaluation, GPA for 45%.

Not provided as a guaranteed offer threshold by the official pages cited here: a programme-specific “competitive score” or a promise of admission at a particular result. The 17-point floor is an eligibility condition, while offers depend on the applicable selection and ranking. Treat forum cutoffs and mock-score bands as informal preparation aids, not announced requirements.

That still leaves you needing a preparation target. Use the following as OpenExamPrep practice benchmarks — illustrative goals for your own mock scoring, not Bocconi figures:

The score is one preparation lever, alongside accurate application choices and the separately evaluated GPA. Use completed practice results to improve specific methods; do not turn an informal target into a claim that a particular programme will admit you.

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An Answer-or-Omit Practice Process

This is an editorial process to rehearse, not a Bocconi instruction or a guaranteed optimal policy for every candidate.

1. Check the task and evidence. Identify what the question asks, the available choices and whether you have a workable method. A short initial triage can help, but no official 20-second question timer exists.
2. Use only justified eliminations. A sign, scale, dimension or passage check may exclude an option. Do not assume an unsupported elimination is valid or that two surviving choices must be equally likely.
3. Consider the time tradeoff. Work among the visible items using the actual total remaining time. If selecting an answer has negligible cost and your goal is expected points, apply the conditional model above. If another visible item has a clearer solution, reassess how much time to spend here. Neither a live 17-point score nor a guaranteed gain is available.
4. Decide and confirm before Next. Record an answer or an intentional blank, check the current screen, and advance when ready. Earlier screens cannot be reopened. The equal-time 4.5-minute reference in Section 1.1 is adjustable, and time saved can support later screens.

Primary sources, checked 30 October 2026: Online Bocconi Test, 2027–28 conduct rules, Admissions, and GPA and High School Curriculum. The formulas and mock targets above are OpenExamPrep explanations, not University admissions predictions.